Answer:
45 girls
Step-by-step explanation:
- Remark
- There are only 2 choices for gender. So if the class is 60% girls, the there must be 100 - 60 = 40% for the boys.
- But we are told that the boys are 30 in number.
- Let x = the total number of students.
Solution
- 40/100 * x = 30 Change the % to a decimal
- 0.4 x = 30 Divide both sides by 0.4
- 0.4 x / 0.4 = 30 / 0.4 Do the division
- x = 30/0.4
- x = 75 students in total
Formula
Total of Boys and Girls = Number of boys + number of girls.
Givens
- Total = 75
- Number of boys = 30
Solution II
- 75 = x + 30 Subtract 30 from each side
- 75 - 30 = x +30 - 30
- 45 = x
- There are 45 girls in the class.
Answer:
a = 2 5/8
Step-by-step explanation:
14a - (2a + 9) = 3 (12a - 18)
14a - 2a + 9 = 36a - 54
12a + 9 = 36a - 54
12a - 36a = -54 - 9
-24a = -63
a = -63/-24
a = 21/8
a = 2 5/8
Answer: The value of square root of 75 is 8.65.
Step-by-step explanation:
Since we have given that

a) Explain why her reasoning is incorrect.
Her reasoning is incorrect.
As we can write it as :

(b) Estimate the square root of 75 to the nearest thousandths without using your calculator. Show
As we know that

So, the square root of 75 would be :

Hence, the value of square root of 75 is 8.65.
Their distance differs by 15 miles for each hour of travel time. Thus, the travel time of interest is
.. (180 -144) miles/(15 miles/hour) = 2.4 hour
The red car's speed is 180 mi/(2.4 h) = 75 mi/h.
The blue car's speed is 144 mi/(2.4 h) = 60 mi/h.
Answer:
B. 3.
Step-by-step explanation:
At the limit we can take the numerator to be √(9x^4) = 3x^2
The function is of the form ∞/ ∞ as x approaches ∞ so we can apply l'hopitals rule:
Differentiating top and bottom we have 6x / 2x - 3. Differentiating again we get 6 / 2 = 3.
Our limit as x approaches infinity is 3.